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IPLUSO 4944

Quantitative Methods

Development for the Web and Mobile Devices
  • ApresentaçãoPresentation
      In a post-secondary cycle of studies in the area of technologies and the like, the curricular units in the scientific area of Mathematics play a relevant role. They are essential for students acquire basic knowledge needed in other curricular units of the cycle of studies that require mathematical knowledge or skills and competences acquired through work in the units of this area. The Quantitative Methods unit assumes a fundamental and relevant role in the beginning of students' mathematical training. Mathematical contents are essential in the training of qualified staff, whether in understanding and consolidating the different concepts, or in the specific knowledge of their applicability and in the development of new skills and competences acquired through work on the curricular unit. Much of what is explored about matrices has a wide application in other areas of this cycle of studies and others in the CNAEF 481 area where students can continue their studies.
  • ProgramaProgramme
    1. Matrices: notion and properties. Operations with arrays. 2. Characteristics and Condensation of matrices. 3. Systems of linear equations. Systems types. Discussion and resolution of systems. 4. Invertible matrices. 5. Determinants: Notion and properties. 6. Complementary minors and adjunct matrix. Laplace's Theorem. Cramer's Rule. 7. Vectors and eigenvalues. Similar arrays. Diagonalization of matrices. 8. Inner product, outer product and mixed product.  
  • ObjectivosObjectives
    - Operate with matrices. - Know the properties of operations with matrices. - Distinguish different types of matrices and identify their properties. - Condense and reduce matrices. - Calculate inverse matrices - Analyze the nature of systems of linear equations and solve them whenever possible. - Know the properties of determinants and perform calculations with determinants. - Complementary minors and assistant. Laplace's Theorem. Cramer's Rule. - Determine eigenvalues and eigenvectors and diagonalize a diagonalizable matrix. - Calculate and interpret geometrically the inner, outer and mixed product. - Acquire skills in terms of logical and deductive reasoning, ability to abstract; - Develop reflection and criticism skills. - Encourage persistence in analyzing situations and making decisions.
  • BibliografiaBibliography
    Simões, Vasco - Álgebra Linear. 1ª Edição. Lisboa: Edições Orion. 2013. ISBN: 978 972 862 0240 Cabral, I., Perdigão, C., Saiago C. - Álgebra ¿ Teoria e Exercícios. 1ª Edição. Lisboa: Escolar Editora. 2009. ISBN: 978 972 592 239 2 Magalhães, L. T. , Álgebra Linear como introdução à Matemática Aplicada, Texto Editora, 2001 Monteiro, A.; Pinto, G. (1997). Álgebra Linear e Geometria Analítica. Problemas e exercícios, McGraw-Hill. 
  • MetodologiaMethodology
    Possibility of using appropriate software to carry out certain tasks.
  • LínguaLanguage
    Português
  • TipoType
    Semestral
  • ECTS
    6
  • NaturezaNature
    Mandatory
  • EstágioInternship
    Não